Subgroup coverings of some sporadic groups |
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Authors: | PE Holmes |
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Institution: | School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK |
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Abstract: | A set of proper subgroups is a covering for a group if their union is the whole group. Determining the size of a smallest covering is an open problem for many simple groups. For some of the sporadic groups, we find subgroup coverings of minimal cardinality. For others we specify the isomorphism types of subgroups in a smallest covering and use graphs to calculate bounds for its size. |
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Keywords: | Group theory Sporadic groups |
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